p-adic Eisenstein-Kronecker series and non-critical values of p-adic Hecke L-function of an imaginary quadratic field when the conductor is divisible by p

摘要

Text. We relate non-critical special values of p-adic L-functions associated to algebraic Hecke characters of an imaginary quadratic number field with class number one to p-adic Eisenstein-Kronecker series constructed as the Coleman function, when the conductors of the algebraic Hecke characters are divisible by p. Video. For a video summary of this paper, please click here or visit http://youtu.be/AZemqgfp5pQ.